Finite Group Databasebeta

← #8429383

Subgroups — #8429383

Order 512.

4313 conjugacy classes of subgroups.

The subgroup lattice has 1632 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59720C212yesmaximal, complemented
2#59667C211yesmaximal, characteristic, complemented
3#59658C212yesmaximal, complemented
4#59233C211yesmaximal, characteristic, complemented
5#59213C211yesmaximal, characteristic, complemented
6#58498C214yesmaximal, complemented
7#57887C214yesmaximal, complemented
8#53079C212yesmaximal, complemented
9#53062C212yesmaximal, complemented
10#53058C212yesmaximal, complemented
11#53054C212yesmaximal, complemented
12#52934C214yesmaximal, complemented
13#42888C212yesmaximal, complemented
14#42674C212yesmaximal, complemented
15#42473C212yesmaximal, complemented
16#42465C212yesmaximal, complemented
17#42321C214yesmaximal, complemented
18#39547C212yesmaximal, complemented
19#39534C212yesmaximal, complemented
20#39527C212yesmaximal, complemented
21#39498C211yesmaximal, characteristic, complemented
22#39481C211yesmaximal, characteristic, complemented
23#39082C212yesmaximal, complemented
24#38967C211yesmaximal, characteristic, complemented
25#38940C211yesmaximal, characteristic, complemented
26#37636C212yesmaximal, complemented
27#37627C211yesmaximal, characteristic, complemented
28#37624C211yesmaximal, characteristic, complemented
29#37588C212yesmaximal, complemented
30#36449C211yesmaximal, characteristic, complemented
31#36272C211yesmaximal, characteristic, complemented
32#36210C211yesmaximal, characteristic, complemented
33#34978C211yesmaximal, characteristic, complemented
34#34800C211yesmaximal, characteristic, complemented
35#34797C211yesmaximal, characteristic, complemented
36C2×#557C2212yes—
37C2×#553C2212yes—
38C2×#552C2212yes—
39#2863C2212yes—
40#2859C2211yescharacteristic
41#2859C2212yes—
42#2857C2211yescharacteristic
43#2857C2211yescharacteristic
44#2841C2214yes—
45#2838C2214yes—
46#2837C2214yes—
47#2837C2214yes—
48#2832C2214yes—
49#2832C2214yes—
50#2832C2214yes—
51#2831C2214yes—
52#2830C2214yes—
53#2829C2214yes—
54#2829C2214yes—
55#2824C2214yes—
56#2821C2214yes—
57#2813C2214yes—
58#2808C2214yes—
59#2807C2214yes—
60#2800C2214yes—
61#2798C2214yes—
62#2798C2214yes—
63#2798C2214yes—
64#2788C2214yes—
65#2788C2214yes—
66#2787C2214yes—
67#2786C2214yes—
68#2785C2214yes—
69#2775C2214yes—
70#2774C2214yes—
71#2773C2214yes—
72#2772C2214yes—
73#2767C2214yes—
74#2766C2214yes—
75#2755C2214yes—
76#2754C2214yes—
77#2751C2214yes—
78#2747C2214yes—
79#2742C2214yes—
80#2741C2214yes—
81#2739C2214yes—
82#2737C2214yes—
83#2727C2214yes—
84#2725C2214yes—
85#2719C2214yes—
86#2719C2214yes—
87#2716C2214yes—
88#2713C2214yes—
89#2711C2214yes—
90#2708C2214yes—
91#2707C2214yes—
92#2705C2214yes—
93#2694C2214yes—
94#2694C2214yes—
95#2666C2214yes—
96#2665C2214yes—
97#2660C2212yes—
98#2653C2214yes—
99#2651C2214yes—
100#2647C2212yes—
101#2640C2212yes—
102#2637C2214yes—
103#2637C2214yes—
104#2632C2214yes—
105#2632C2214yes—
106#2630C2214yes—
107#2629C2212yes—
108#2629C2212yes—
109#2628C2212yes—
110#2628C2214yes—
111#2628C2212yes—
112#2628C2212yes—
113#2625C2212yes—
114#2624C2214yes—
115#2624C2212yes—
116#2624C2212yes—
117#2620C2212yes—
118#2612C2214yes—
119#2611C2214yes—
120#2610C2214yes—
121#2606C2214yes—
122#2599C2214yes—
123#2584C2212yes—
124#2581C2212yes—
125#2580C2212yes—
126#2578C2214yes—
127#2577C2214yes—
128#2571C2211yescharacteristic
129#2571C2211yescharacteristic
130#2570C2212yes—
131#2563C2212yes—
132#2563C2212yes—
133#2563C2212yes—
134#2563C2212yes—
135#2562C2212yes—
136#2558C2214yes—
137#2553C2214yes—
138#2552C2211yescharacteristic
139#2552C2211yescharacteristic
140#2552C2211yescharacteristic
141#2551C2212yes—
142#2551C2211yescharacteristic
143#2551C2211yescharacteristic
144#2550C2212yes—
145#2550C2212yes—
146#2547C2211yescharacteristic
147#2542C2211yescharacteristic
148#2537C2212yes—
149#2537C2211yescharacteristic
150#2536C2212yes—
151#2533C2214yes—
152#2532C2212yes—
153#2531C2212yes—
154#2530C2214yes—
155#2529C2214yes—
156#2529C2212yes—
157#2526C2212yes—
158#2525C2214yes—
159#2521C2214yes—
160#2519C2214yes—
161#2518C2212yes—
162#2518C2212yes—
163#2515C2214yes—
164#2514C2212yes—
165#2513C2212yes—
166#2513C2211yescharacteristic
167#2512C2211yescharacteristic
168#2509C2212yes—
169#2509C2212yes—
170#2509C2212yes—
171#2508C2211yescharacteristic
172#2507C2212yes—
173#2507C2211yescharacteristic
174#2506C2212yes—
175#2506C2212yes—
176#2500C2211yescharacteristic
177#2500C2211yescharacteristic
178#2499C2212yes—
179#2497C2212yes—
180#2497C2211yescharacteristic
181#2496C2212yes—
182#2496C2212yes—
183#2495C2214yes—
184#2495C2212yes—
185#2495C2212yes—
186#2495C2212yes—
187#2495C2211yescharacteristic
188#2494C2212yes—
189#2494C2212yes—
190#2492C2212yes—
191#2491C2211yescharacteristic
192#2491C2214yes—
193#2491C2212yes—
194#2491C2212yes—
195#2490C2211yescharacteristic
196#2490C2212yes—
197#2489C2212yes—
198#2486C2212yes—
199#2485C2212yes—
200#2485C2211yescharacteristic
201#2485C2212yes—
202#2485C2212yes—
203#2485C2214yes—
204#2485C2212yes—
205#2485C2211yescharacteristic
206#2468C2214yes—
207#2467C2212yes—
208#2462C2214yes—
209#2460C2214yes—
210#2459C2212yes—
211#2458C2214yes—
212#2454C2212yes—
213#2454C2212yes—
214#2453C2212yes—
215#2451C2212yes—
216#2442C2212yes—
217#2442C2212yes—
218#2442C2212yes—
219#2441C2212yes—
220#2441C2212yes—
221#2441C2212yes—
222#2441C2211yescharacteristic
223#2441C2212yes—
224#2439C2212yes—
225#2439C2212yes—
226#2439C2212yes—
227#2439C2212yes—
228#2439C2211yescharacteristic
229#2439C2212yes—
230#2427C2212yes—
231#2426C2212yes—
232#2426C2212yes—
233#2423C2212yes—
234#2423C2212yes—
235#2422C2212yes—
236#2421C2212yes—
237#2421C2212yes—
238#2420C2212yes—
239#2415C2212yes—
240#2415C2212yes—
241#2415C2212yes—
242#2414C2211yescharacteristic
243#2414C2212yes—
244#2414C2212yes—
245#2414C2211yescharacteristic
246#2398C2212yes—
247#2396C2214yes—
248#2395C2212yes—
249#2392C2212yes—
250#2392C2212yes—
251#2370C2212yes—
252#2367C2214yes—
253#2365C2211yescharacteristic
254#2365C2211yescharacteristic
255#2365C2212yes—
256#2362C2212yes—
257#2361C2212yes—
258#2360C2212yes—
259#2354C2211yescharacteristic
260#2354C2211yescharacteristic
261#2352C2212yes—
262D4×C4⋊C4C2211yescharacteristic
263D4×C4⋊C4C2211yescharacteristic
264#2347C2212yes—
265#2346C2212yes—
266#2346C2212yes—
267#2345C2212yes—
268#2320C2212yes—
269#2320C2214yes—
270#2317C2212yes—
271#2316C2212yes—
272#2314C2212yes—
273C4×C4⋊Q8C2212yes—
274C4×C4⋊Q8C2211yescharacteristic
275C4×C4⋊Q8C2211yescharacteristic
276C4×C4⋊Q8C2212yes—
277C4×#125C2212yes—
278C4×#125C2211yescharacteristic
279C4×#125C2212yes—
280C4×#126C2212yes—
281C4×#124C2212yes—
282C4×#124C2212yes—
283C4×#121C2211yescharacteristic
284C4×#121C2211yescharacteristic
285C4×#121C2211yescharacteristic
286C4×#121C2211yescharacteristic
287#2298C2212yes—
288#2293C2212yes—
289#2293C2212yes—
290#2293C2211yescharacteristic
291#2293C2211yescharacteristic
292#2285C2211yescharacteristic
293#2285C2211yescharacteristic
294#2285C2211yescharacteristic
295#2283C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C4×#117C2211yescharacteristic
299#557—48no—
300#553—48no—
301#552—48no—
302C2×C4⋊Q8C2311yescharacteristic
303C2×C4⋊Q8C2312yes—
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2314yes—
309C2×#126C2312yes—
310C2×#126C2314yes—
311C2×#126C2314yes—
312C2×#125C2311yescharacteristic
313C2×#125C2312yes—
314C2×#125C2312yes—
315C2×#125C2312yes—
316C2×#125C2312yes—
317C2×#125C2314yes—
318C2×#125C2314yes—
319C2×#125C2314yes—
320C2×#124C2314yes—
321C2×#124C2312yes—
322C2×#124C2312yes—
323C2×#123C2314yes—
324C2×#123C2314yes—
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2312yes—
329C2×#121C2311yescharacteristic
330C2×#121C2312yes—
331C2×#121C2312yes—
332C2×#121C2311yescharacteristic
333C2×#121C2314yes—
334C2×#121C2311yescharacteristic
335C2×#121C2311yescharacteristic
336C2×C4×Q8C2312yes—
337C2×C4×Q8C2314yes—
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2314yes—
341C2×C4×Q8C2312yes—
342C2×C4×D4C2311yescharacteristic
343C2×C4×D4C2311yescharacteristic
344C2×C4×D4C2311yescharacteristic
345C2×C4×D4C2312yes—
346C2×C4×D4C2312yes—
347C2×C4×D4C2312yes—
348C2×C4×D4C2312yes—
349C2×C4×D4C2312yes—
350C2×C4×D4C2314yes—
351C2×C4×D4C2311yescharacteristic
352C2×C4×D4C2312yes—
353C2×C4×D4C2311yescharacteristic
354C2×#117C2311yescharacteristic
355C2×#117C2312yes—
356C2×#117C2312yes—
357C2×#117C2312yes—
358C2×#117C2312yes—
359C2×#117C2312yes—
360C2×#117C2314yes—
361C2×#117C2312yes—
362C2×#117C2311yescharacteristic
363C2×#117C2312yes—
364C2×#117C2311yescharacteristic
365C2×#117C2311yescharacteristic
366C22×C4⋊C4C2312yes—
367C22×C4⋊C4C2312yes—
368C22×C42C2311yescharacteristic
369C22×C42C2311yescharacteristic
370#401C2314yes—
371#400C2314yes—
372#400C2314yes—
373#400C2314yes—
374#400C2314yes—
375#400C2314yes—
376#400C2314yes—
377#400C2314yes—
378#400C2314yes—
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
382#400C2314yes—
383#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2312yes—
388#400C2312yes—
389#400C2312yes—
390#400C2314yes—
391#399C2312yes—
392#399C2314yes—
393#399C2314yes—
394#399C2314yes—
395#399C2314yes—
396#399C2314yes—
397#399C2314yes—
398#399C2314yes—
399#399C2314yes—
400#398C2314yes—
401#398C2314yes—
402#398C2314yes—
403#398C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2312yes—
417#398C2312yes—
418#398C2312yes—
419#397C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2312yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2312yes—
436#397C2312yes—
437#397C2314yes—
438#397C2312yes—
439#397C2312yes—
440#397C2312yes—
441#397C2312yes—
442#396C2314yes—
443#396C2314yes—
444#396C2314yes—
445#396C2314yes—
446#396C2312yes—
447#396C2312yes—
448#396C2314yes—
449#396C2314yes—
450#396C2314yes—
451#396C2314yes—
452#396C2314yes—
453#396C2314yes—
454#396C2312yes—
455#396C2312yes—
456#395C2314yes—
457#395C2314yes—
458#395C2314yes—
459#395C2314yes—
460#395C2314yes—
461#395C2314yes—
462#395C2314yes—
463#395C2314yes—
464#394C2314yes—
465#394C2312yes—
466#394C2312yes—
467#394C2314yes—
468#394C2314yes—
469#394C2312yes—
470#394C2312yes—
471#394C2312yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2312yes—
477#394C2312yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2312yes—
485#394C2312yes—
486#394C2312yes—
487#394C2314yes—
488#393C2314yes—
489#393C2314yes—
490#393C2314yes—
491#393C2314yes—
492#393C2314yes—
493#393C2314yes—
494#393C2314yes—
495#393C2312yes—
496#393C2314yes—
497#393C2314yes—
498#393C2314yes—
499#393C2314yes—
500#393C2312yes—
501#392C2314yes—
502#392C2312yes—
503#392C2312yes—
504#391C2314yes—
505#391C2314yes—
506#391C2312yes—
507#391C2312yes—
508#391C2314yes—
509#391C2312yes—
510#391C2312yes—
511#391C2314yes—
512#391C2314yes—
513#391C2314yes—
514#391C2312yes—
515#391C2312yes—
516#391C2312yes—
517#391C2312yes—
518#390C2311yescharacteristic
519#390C2314yes—
520#390C2314yes—
521#390C2312yes—
522#390C2314yes—
523#390C2314yes—
524#390C2311yescharacteristic
525#390C2312yes—
526#390C2311yescharacteristic
527#390C2311yescharacteristic
528#390C2312yes—
529#390C2312yes—
530#390C2311yescharacteristic
531#390C2311yescharacteristic
532#390C2312yes—
533#390C2312yes—
534#390C2311yescharacteristic
535#390C2311yescharacteristic
536#389C2311yescharacteristic
537#389C2312yes—
538#389C2312yes—
539#389C2312yes—
540#389C2311yescharacteristic
541#389C2312yes—
542#389C2312yes—
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2314yes—
548#389C2314yes—
549#389C2311yescharacteristic
550#389C2312yes—
551#389C2311yescharacteristic
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2314yes—
558#389C2314yes—
559#389C2314yes—
560#389C2314yes—
561#389C2311yescharacteristic
562#389C2314yes—
563#389C2314yes—
564#389C2312yes—
565#389C2312yes—
566#389C2312yes—
567#389C2311yescharacteristic
568#389C2312yes—
569#389C2312yes—
570#389C2312yes—
571#389C2312yes—
572#389C2312yes—
573#389C2311yescharacteristic
574#389C2311yescharacteristic
575#389C2312yes—
576#389C2312yes—
577#389C2314yes—
578#389C2314yes—
579#389C2312yes—
580#389C2312yes—
581#389C2312yes—
582#389C2312yes—
583#389C2314yes—
584#389C2311yescharacteristic
585#389C2314yes—
586#389C2312yes—
587#389C2312yes—
588#389C2311yescharacteristic
589#389C2314yes—
590#389C2311yescharacteristic
591#389C2311yescharacteristic
592#388C2312yes—
593#388C2312yes—
594#388C2312yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2312yes—
603#388C2312yes—
604#388C2314yes—
605#388C2312yes—
606#388C2314yes—
607#388C2314yes—
608#388C2312yes—
609#388C2312yes—
610#388C2312yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2312yes—
620#388C2314yes—
621#388C2314yes—
622#388C2312yes—
623#388C2314yes—
624#388C2314yes—
625#388C2312yes—
626#388C2314yes—
627#388C2312yes—
628#388C2312yes—
629#388C2312yes—
630#388C2312yes—
631#388C2314yes—
632#388C2312yes—
633#388C2312yes—
634#388C2312yes—
635#388C2312yes—
636#388C2312yes—
637#388C2312yes—
638#388C2312yes—
639#387C2312yes—
640#387C2312yes—
641#387C2312yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2312yes—
647#387C2312yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2312yes—
666#387C2314yes—
667#387C2314yes—
668#387C2312yes—
669#387C2314yes—
670#387C2314yes—
671#387C2314yes—
672#387C2314yes—
673#387C2314yes—
674#387C2312yes—
675#387C2314yes—
676#387C2312yes—
677#386C2314yes—
678#386C2314yes—
679#386C2312yes—
680#386C2312yes—
681#386C2312yes—
682#386C2312yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#384C2311yescharacteristic
692#384C2312yes—
693#384C2312yes—
694#384C2311yescharacteristic
695#384C2312yes—
696#384C2312yes—
697#384C2311yescharacteristic
698#384C2311yescharacteristic
699#384C2311yescharacteristic
700#384C2311yescharacteristic
701#383C2312yes—
702#383C2314yes—
703#383C2314yes—
704#383C2314yes—
705#383C2312yes—
706#382C2312yes—
707#382C2312yes—
708#382C2311yescharacteristic
709#382C2312yes—
710#382C2312yes—
711#382C2314yes—
712#382C2314yes—
713#382C2314yes—
714#382C2311yescharacteristic
715#382C2312yes—
716#382C2312yes—
717#382C2314yes—
718#382C2312yes—
719#382C2312yes—
720#382C2312yes—
721#382C2311yescharacteristic
722#381C2312yes—
723#381C2314yes—
724#380C2312yes—
725#380C2312yes—
726#380C2312yes—
727#380C2312yes—
728#380C2312yes—
729#380C2311yescharacteristic
730#380C2311yescharacteristic
731#380C2311yescharacteristic
732#380C2314yes—
733#380C2312yes—
734#380C2312yes—
735#380C2312yes—
736#380C2312yes—
737#380C2314yes—
738#380C2312yes—
739#380C2311yescharacteristic
740#380C2314yes—
741#380C2312yes—
742#380C2312yes—
743#380C2312yes—
744#380C2312yes—
745#380C2314yes—
746#380C2312yes—
747#380C2312yes—
748#380C2312yes—
749#380C2314yes—
750#380C2311yescharacteristic
751#380C2314yes—
752#380C2311yescharacteristic
753#380C2311yescharacteristic
754#380C2311yescharacteristic
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2314yes—
764C4×C4⋊C4C2314yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2314yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2311yescharacteristic
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2311yescharacteristic
806#376C2314yes—
807#376C2312yes—
808#376C2312yes—
809#376C2312yes—
810C43C2312yes—
811C43C2311yescharacteristic
812C43C2312yes—
813C22×Q8C2412yes—
814C22×Q8C2412yes—
815C22×Q8C2414yes—
816C22×Q8C2414yes—
817C22×D4C2411yescharacteristic
818C22×D4C2411yescharacteristic
819C22×D4C2412yes—
820C22×D4C2411yescharacteristic
821C22×D4C2414yes—
822C22×D4C2412yes—
823C22×D4C2412yes—
824C22×D4C2412yes—
825C23×C4C2412yes—
826C23×C4C2412yes—
827C23×C4C2411yescharacteristic
828C23×C4C2411yescharacteristic
829C23×C4C2411yescharacteristic
830C23×C4C2411yescharacteristic
831C23×C4C2411yescharacteristic
832C23×C4C2414yes—
833C23×C4C2411yescharacteristic
834C23×C4C2414yes—
835C4⋊Q8—24no—
836C4⋊Q8—42no—
837C4⋊Q8—44no—
838C4⋊Q8—44no—
839C4⋊Q8—44no—
840C4⋊Q8—48no—
841C4⋊Q8—44no—
842#126—44no—
843#126—48no—
844#126—48no—
845#125—28no—
846#125—24no—
847#125—44no—
848#125—44no—
849#125—48no—
850#125—44no—
851#125—48no—
852#125—48no—
853#124—48no—
854#124—44no—
855#124—44no—
856#123—48no—
857#123—48no—
858C22⋊Q8—44no—
859C22⋊Q8—44no—
860C22⋊Q8—44no—
861C22⋊Q8—44no—
862#121—24no—
863#121—42no—
864#121—42no—
865#121—42no—
866#121—44no—
867#121—48no—
868#121—44no—
869C4×Q8—28no—
870C4×Q8—48no—
871C4×Q8—44no—
872C4×Q8—48no—
873C4×Q8—44no—
874C4×Q8—44no—
875C4×D4—24no—
876C4×D4—24no—
877C4×D4—44no—
878C4×D4—44no—
879C4×D4—42no—
880C4×D4—44no—
881C4×D4—44no—
882C4×D4—42no—
883C4×D4—44no—
884C4×D4—44no—
885C4×D4—42no—
886C4×D4—48no—
887#117—24no—
888#117—44no—
889#117—44no—
890#117—44no—
891#117—44no—
892#117—48no—
893#117—42no—
894#117—44no—
895#117—44no—
896#117—42no—
897#117—42no—
898#117—44no—
899C2×C4⋊C4—28no—
900C2×C4⋊C4—44no—
901C2×C4⋊C4C2411yescharacteristic
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2414yes—
905C2×C4⋊C4C2411yescharacteristic
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2411yescharacteristic
909C2×C4⋊C4C2411yescharacteristic
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2411yescharacteristic
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2411yescharacteristic
915C2×C4⋊C4C2411yescharacteristic
916C2×C4⋊C4C2414yes—
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2411yescharacteristic
919C2×C4⋊C4C2411yescharacteristic
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2411yescharacteristic
922C2×C4⋊C4C2414yes—
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2414yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2411yescharacteristic
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2412yes—
978C2×C22⋊C4C2411yescharacteristic
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2411yescharacteristic
1003C2×C22⋊C4C2411yescharacteristic
1004C2×C22⋊C4C2411yescharacteristic
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2411yescharacteristic
1007C2×C22⋊C4C2411yescharacteristic
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C42—24no—
1033C2×C42—24no—
1034C2×C42C2412yes—
1035C2×C42C2411yescharacteristic
1036C2×C42C2412yes—
1037C2×C42C2411yescharacteristic
1038C2×C42C2412yes—
1039C2×C42C2414yes—
1040C2×C42C2414yes—
1041C2×C42C2412yes—
1042C2×C42C2412yes—
1043C2×C42C2412yes—
1044C2×C42C2412yes—
1045C2×C42C2411yescharacteristic
1046C2×C42C2411yescharacteristic
1047C2×C42C2412yes—
1048C2×C42C2412yes—
1049C2×C42C2411yescharacteristic
1050C2×C42C2411yescharacteristic
1051C2×C42C2411yescharacteristic
1052C2×C42C2411yescharacteristic
1053C2×C42C2411yescharacteristic
1054C2×C42C2411yescharacteristic
1055C2×C42C2414yes—
1056C2×C42C2412yes—
1057C2×C42C2412yes—
1058C2×C42C2412yes—
1059C2×C42C2414yes—
1060C2×C42C2414yes—
1061C2×C42C2411yescharacteristic
1062C2×C42C2414yes—
1063C2×C42C2414yes—
1064C2×C42C2412yes—
1065C2×C42C2412yes—
1066C2×C42C2411yescharacteristic
1067C2×C42C2411yescharacteristic
1068#95C2412yes—
1069#95C2412yes—
1070#95C2412yes—
1071#95C2412yes—
1072#95C2412yes—
1073#95C2412yes—
1074#95C2412yes—
1075#95C2412yes—
1076#95C2412yes—
1077#95C2412yes—
1078#95C2414yes—
1079#95C2412yes—
1080#95C2412yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2414yes—
1084#95C2411yescharacteristic
1085#95C2414yes—
1086#95C2411yescharacteristic
1087#95C2411yescharacteristic
1088#95C2411yescharacteristic
1089#95C2411yescharacteristic
1090#95C2411yescharacteristic
1091#95C2412yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2414yes—
1095#95C2412yes—
1096#95C2414yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2414yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2414yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2414yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2412yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2412yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144C24C2511yescharacteristic
1145C24C2512yes—
1146C24C2511yescharacteristic
1147C24C2512yes—
1148C2×Q8—24no—
1149C2×Q8—24no—
1150C2×Q8—24no—
1151C2×Q8—42no—
1152C2×Q8—44no—
1153C2×Q8—44no—
1154C2×Q8—44no—
1155C2×Q8—42no—
1156C2×Q8—44no—
1157C2×Q8—44no—
1158C2×Q8—44no—
1159C2×Q8—42no—
1160C2×D4—22no—
1161C2×D4—24no—
1162C2×D4—22no—
1163C2×D4—22no—
1164C2×D4—22no—
1165C2×D4—22no—
1166C2×D4—22no—
1167C2×D4—41no—
1168C2×D4—41no—
1169C2×D4—41no—
1170C2×D4—42no—
1171C2×D4—44no—
1172C2×D4—42no—
1173C2×D4—42no—
1174C2×D4—42no—
1175C2×D4—42no—
1176C2×D4—42no—
1177C2×D4—42no—
1178C2×D4—44no—
1179C2×D4—44no—
1180C2×D4—42no—
1181C2×D4—42no—
1182C2×D4—42no—
1183C2×D4—42no—
1184C22×C4—24no—
1185C22×C4—22no—
1186C22×C4—22no—
1187C22×C4—22no—
1188C22×C4—22no—
1189C22×C4—22no—
1190C22×C4—22no—
1191C22×C4—22no—
1192C22×C4—24no—
1193C22×C4—24no—
1194C22×C4—24no—
1195C22×C4—22no—
1196C22×C4—22no—
1197C22×C4—24no—
1198C22×C4—22no—
1199C22×C4—22no—
1200C22×C4—22no—
1201C22×C4—24no—
1202C22×C4—22no—
1203C22×C4—22no—
1204C22×C4—28no—
1205C22×C4—22no—
1206C22×C4—41no—
1207C22×C4—44no—
1208C22×C4—41no—
1209C22×C4—41no—
1210C22×C4—44no—
1211C22×C4—44no—
1212C22×C4—44no—
1213C22×C4—44no—
1214C22×C4C2511yescharacteristic
1215C22×C4C2511yescharacteristic
1216C22×C4C2511yescharacteristic
1217C22×C4C2512yes—
1218C22×C4C2512yes—
1219C22×C4C2512yes—
1220C22×C4C2512yes—
1221C22×C4C2511yescharacteristic
1222C22×C4C2511yescharacteristic
1223C22×C4C2512yes—
1224C22×C4C2511yescharacteristic
1225C22×C4C2512yes—
1226C22×C4C2512yes—
1227C22×C4C2514yes—
1228C22×C4C2514yes—
1229C22×C4C2512yes—
1230C22×C4C2511yescharacteristic
1231C22×C4C2512yes—
1232C22×C4C2514yes—
1233C22×C4C2511yescharacteristic
1234C22×C4C2512yes—
1235C22×C4C2512yes—
1236C22×C4C2512yes—
1237C22×C4C2514yes—
1238C22×C4C2511yescharacteristic
1239C22×C4C2512yes—
1240C22×C4C2512yes—
1241C22×C4C2511yescharacteristic
1242C22×C4C2511yescharacteristic
1243C22×C4C2511yescharacteristic
1244C22×C4C2511yescharacteristic
1245C4⋊C4—24no—
1246C4⋊C4—28no—
1247C4⋊C4—22no—
1248C4⋊C4—24no—
1249C4⋊C4—28no—
1250C4⋊C4—28no—
1251C4⋊C4—24no—
1252C4⋊C4—22no—
1253C4⋊C4—28no—
1254C4⋊C4—24no—
1255C4⋊C4—22no—
1256C4⋊C4—22no—
1257C4⋊C4—24no—
1258C4⋊C4—24no—
1259C4⋊C4—22no—
1260C4⋊C4—24no—
1261C4⋊C4—22no—
1262C4⋊C4—22no—
1263C4⋊C4—22no—
1264C4⋊C4—22no—
1265C4⋊C4—24no—
1266C4⋊C4—22no—
1267C4⋊C4—24no—
1268C4⋊C4—22no—
1269C4⋊C4—22no—
1270C4⋊C4—22no—
1271C4⋊C4—24no—
1272C4⋊C4—22no—
1273C4⋊C4—44no—
1274C4⋊C4—42no—
1275C4⋊C4—42no—
1276C4⋊C4—44no—
1277C4⋊C4—42no—
1278C4⋊C4—44no—
1279C4⋊C4—42no—
1280C4⋊C4—42no—
1281C4⋊C4—42no—
1282C4⋊C4—42no—
1283C4⋊C4—42no—
1284C4⋊C4—42no—
1285C4⋊C4—42no—
1286C4⋊C4—42no—
1287C4⋊C4—42no—
1288C4⋊C4—44no—
1289C4⋊C4—44no—
1290C4⋊C4—42no—
1291C4⋊C4—41no—
1292C4⋊C4—42no—
1293C4⋊C4—41no—
1294C4⋊C4—42no—
1295C4⋊C4—42no—
1296C4⋊C4—44no—
1297C4⋊C4—44no—
1298C4⋊C4—44no—
1299C4⋊C4—42no—
1300C4⋊C4—42no—
1301C4⋊C4—42no—
1302C4⋊C4—44no—
1303C4⋊C4—44no—
1304C4⋊C4—44no—
1305C4⋊C4—44no—
1306C4⋊C4—44no—
1307C4⋊C4—44no—
1308C4⋊C4—44no—
1309C4⋊C4—44no—
1310C4⋊C4—44no—
1311C4⋊C4—44no—
1312C4⋊C4—44no—
1313C4⋊C4—42no—
1314C4⋊C4—42no—
1315C4⋊C4—44no—
1316C4⋊C4—44no—
1317C4⋊C4—42no—
1318C4⋊C4—44no—
1319C4⋊C4H(5,𝔽2)14yes—
1320C22⋊C4—24no—
1321C22⋊C4—24no—
1322C22⋊C4—24no—
1323C22⋊C4—24no—
1324C22⋊C4—22no—
1325C22⋊C4—24no—
1326C22⋊C4—24no—
1327C22⋊C4—42no—
1328C22⋊C4—42no—
1329C22⋊C4—42no—
1330C22⋊C4—42no—
1331C22⋊C4—42no—
1332C22⋊C4—42no—
1333C22⋊C4—44no—
1334C22⋊C4—42no—
1335C22⋊C4—42no—
1336C22⋊C4—42no—
1337C22⋊C4—42no—
1338C22⋊C4—44no—
1339C22⋊C4—44no—
1340C22⋊C4—42no—
1341C22⋊C4—42no—
1342C22⋊C4—42no—
1343C22⋊C4—42no—
1344C22⋊C4—44no—
1345C22⋊C4—44no—
1346C22⋊C4—41no—
1347C22⋊C4—41no—
1348C22⋊C4—42no—
1349C22⋊C4—42no—
1350C22⋊C4—44no—
1351C22⋊C4—42no—
1352C22⋊C4—42no—
1353C22⋊C4—41no—
1354C22⋊C4—41no—
1355C22⋊C4—41no—
1356C22⋊C4—42no—
1357C22⋊C4—44no—
1358C22⋊C4—42no—
1359C22⋊C4—42no—
1360C22⋊C4—42no—
1361C22⋊C4—42no—
1362C22⋊C4—42no—
1363C22⋊C4—44no—
1364C22⋊C4—44no—
1365C22⋊C4—44no—
1366C22⋊C4—44no—
1367C22⋊C4—44no—
1368C22⋊C4—44no—
1369C22⋊C4—44no—
1370C22⋊C4—44no—
1371C22⋊C4—44no—
1372C22⋊C4—42no—
1373C22⋊C4—42no—
1374C22⋊C4—42no—
1375C22⋊C4—42no—
1376C42—24no—
1377C42—28no—
1378C42—24no—
1379C42—24no—
1380C42—22no—
1381C42—22no—
1382C42—22no—
1383C42—22no—
1384C42—22no—
1385C42—22no—
1386C42—22no—
1387C42—22no—
1388C42—24no—
1389C42—22no—
1390C42—24no—
1391C42—28no—
1392C42—24no—
1393C42—24no—
1394C42—22no—
1395C42—24no—
1396C42—24no—
1397C42—42no—
1398C42—42no—
1399C42—41no—
1400C42—44no—
1401C42—44no—
1402C42—42no—
1403C42—42no—
1404C42—42no—
1405C42—44no—
1406C42—41no—
1407C42—44no—
1408C42—44no—
1409C422−1+414yes—
1410C23—21no—
1411C23—22no—
1412C23—21no—
1413C23—22no—
1414C23—22no—
1415C23—22no—
1416C23—21no—
1417C23—21no—
1418C23—22no—
1419C23—22no—
1420C23—21no—
1421C23—22no—
1422C23—21no—
1423C23—21no—
1424C23—22no—
1425C23—21no—
1426C23—21no—
1427C23—22no—
1428C23—21no—
1429C23—21no—
1430C23—22no—
1431C23—21no—
1432C23—22no—
1433C23—22no—
1434C23—22no—
1435C23—21no—
1436C23—22no—
1437C23—21no—
1438C23C2611yescharacteristic
1439Q8—48no—
1440Q8—88no—
1441Q8—84no—
1442Q8—88no—
1443D4—44no—
1444D4—44no—
1445D4—44no—
1446D4—84no—
1447D4—84no—
1448D4—88no—
1449D4—84no—
1450D4—84no—
1451C2×C4—21no—
1452C2×C4—22no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—22no—
1457C2×C4—22no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—22no—
1461C2×C4—24no—
1462C2×C4—22no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—24no—
1468C2×C4—22no—
1469C2×C4—24no—
1470C2×C4—22no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—24no—
1479C2×C4—21no—
1480C2×C4—22no—
1481C2×C4—22no—
1482C2×C4—24no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—22no—
1486C2×C4—21no—
1487C2×C4—22no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—22no—
1491C2×C4—21no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—24no—
1495C2×C4—22no—
1496C2×C4—21no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—21no—
1506C2×C4—22no—
1507C2×C4—21no—
1508C2×C4—24no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—24no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—24no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—22no—
1521C2×C4—21no—
1522C2×C4—24no—
1523C2×C4—24no—
1524C2×C4—21no—
1525C2×C4—22no—
1526C2×C4—21no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—24no—
1535C2×C4—44no—
1536C2×C4—48no—
1537C2×C4—44no—
1538C2×C4—44no—
1539C2×C4—44no—
1540C2×C4—44no—
1541C2×C4—48no—
1542C2×C4—88no—
1543C2×C4—82no—
1544C2×C4—164no—
1545C2×C4C2×H(5,𝔽2)14yes—
1546C2×C4C2×H(5,𝔽2)12yes—
1547C2×C4C2×2−1+412yes—
1548C2×C4C2×2−1+412yes—
1549C2×C4C2×2−1+412yes—
1550C2×C4#58512yes—
1551C2×C4#58512yes—
1552C2×C4#58512yes—
1553C2×C4#58512yes—
1554C22—42no—
1555C22—41no—
1556C22—41no—
1557C22—42no—
1558C22—41no—
1559C22—41no—
1560C22—42no—
1561C22—42no—
1562C22—41no—
1563C22—41no—
1564C22—42no—
1565C22—42no—
1566C22—42no—
1567C22—42no—
1568C22—41no—
1569C22—41no—
1570C22—42no—
1571C22—42no—
1572C22—41no—
1573C22—41no—
1574C22—41no—
1575C22—41no—
1576C22—42no—
1577C22—42no—
1578C22—41no—
1579C22—42no—
1580C22—42no—
1581C22—41no—
1582C22C22×H(5,𝔽2)11yescharacteristic
1583C22C22×2−1+411yescharacteristic
1584C22C2×#58511yescharacteristic
1585C22C2×#58511yescharacteristic
1586C22C2×#58511yescharacteristic
1587C22C2×#58511yescharacteristic
1588C222−1+611yescharacteristic
1589C4—24no—
1590C4—22no—
1591C4—22no—
1592C4—41no—
1593C4—41no—
1594C4—42no—
1595C4—41no—
1596C4—41no—
1597C4—42no—
1598C4—44no—
1599C4—41no—
1600C4—44no—
1601C4—42no—
1602C4—42no—
1603C4—42no—
1604C4—42no—
1605C4—44no—
1606C4—41no—
1607C4—42no—
1608C4—42no—
1609C4—41no—
1610C4—44no—
1611C4—42no—
1612C4—42no—
1613C4—41no—
1614C4—41no—
1615C4—42no—
1616C4—42no—
1617C4—42no—
1618C4#354714yes—
1619C4#356514yes—
1620C2—81no—
1621C2—81no—
1622C2—82no—
1623C2—82no—
1624C2C2×#356511yescharacteristic
1625C2C2×#354711yescharacteristic
1626C2#6276211yescharacteristic
1627C2#6292111yescharacteristic
1628C2#6292811yescharacteristic
1629C2#6293911yescharacteristic
1630C2#6302211yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #59720C2semidirect
2. #59667C2semidirect
3. #59658C2semidirect
4. #59233C2semidirect
5. #59213C2semidirect
6. #58498C2semidirect
7. #57887C2semidirect
8. #53079C2semidirect
9. #53062C2semidirect
10. #53058C2semidirect
11. #53054C2semidirect
12. #52934C2semidirect
13. #42888C2semidirect
14. #42674C2semidirect
15. #42473C2semidirect
16. #42465C2semidirect
17. #42321C2semidirect
18. #39547C2semidirect
19. #39534C2semidirect
20. #39527C2semidirect
21. #39498C2semidirect
22. #39481C2semidirect
23. #39082C2semidirect
24. #38967C2semidirect
25. #38940C2semidirect
26. #37636C2semidirect
27. #37627C2semidirect
28. #37624C2semidirect
29. #37588C2semidirect
30. #36449C2semidirect
31. #36272C2semidirect
32. #36210C2semidirect
33. #34978C2semidirect
34. #34800C2semidirect
35. #34797C2semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
#597202
#596672
#596582
#592332
#592132
#584982
#578872
#530792
#530622
#530582
#530542
#529342
#428882
#426742
#424732
#424652
#423212
#395472
#395342
#395272
#394982
#394812
#390822
#389672
#389402
#376362
#376272
#376242
#375882
#364492
#362722
#362102
#349782
#348002
#347972